Question

find the domain and range of f(x)=√x+4-3/x-5​

Answer 1

Answer:

f(x)= x−5

For f(x) to be defined, the term under the Square-root should be greater than or equal to zero.

x−5≥0

x≥5

So, the domain is [5,∞)

Now, for x−5≥0

x−5

≥0

y≥0

So, the range is [0,∞)